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Finding the Fourth Proportional to 2,140.12, 2,953.20 and 1,255.78

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Solution

The fourth proportional to 2,140.12, 2,953.20 and 1,255.78 is: 1,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.12 : 2,953.20 = 1,255.78 : x
  2. Step 2: Convert to fraction form
    2,140.12/2,953.20 = 1,255.78/x
  3. Step 3: Cross multiply
    2,140.12x = 2,953.20 × 1,255.78
  4. Step 4: Simplify right side
    2,140.12x = 3,708,569.50
  5. Step 5: Solve for x
    x = 3,708,569.50/2,140.12
  6. Step 6: Final answer
    x = 1,732.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.